WO2006061751A1 - Electronic image processing method and device with linked random generators - Google Patents
Electronic image processing method and device with linked random generators Download PDFInfo
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- WO2006061751A1 WO2006061751A1 PCT/IB2005/054011 IB2005054011W WO2006061751A1 WO 2006061751 A1 WO2006061751 A1 WO 2006061751A1 IB 2005054011 W IB2005054011 W IB 2005054011W WO 2006061751 A1 WO2006061751 A1 WO 2006061751A1
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- Prior art keywords
- random
- horizontal
- pixel position
- value
- horizontal line
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- 238000003672 processing method Methods 0.000 title description 5
- 238000000034 method Methods 0.000 claims abstract description 32
- 238000012545 processing Methods 0.000 claims abstract description 32
- 230000006837 decompression Effects 0.000 claims description 10
- 238000004590 computer program Methods 0.000 claims description 7
- 230000006835 compression Effects 0.000 claims description 5
- 238000007906 compression Methods 0.000 claims description 5
- 238000009795 derivation Methods 0.000 claims description 5
- 238000011156 evaluation Methods 0.000 claims description 2
- 238000012886 linear function Methods 0.000 claims 2
- 230000001419 dependent effect Effects 0.000 claims 1
- 230000015654 memory Effects 0.000 abstract description 34
- 230000015572 biosynthetic process Effects 0.000 description 7
- 238000003786 synthesis reaction Methods 0.000 description 7
- 238000001914 filtration Methods 0.000 description 6
- 230000000875 corresponding effect Effects 0.000 description 5
- 230000006870 function Effects 0.000 description 4
- 238000009877 rendering Methods 0.000 description 4
- 230000004044 response Effects 0.000 description 3
- 238000003860 storage Methods 0.000 description 3
- 238000004422 calculation algorithm Methods 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 230000003247 decreasing effect Effects 0.000 description 2
- 229920002160 Celluloid Polymers 0.000 description 1
- 241000023320 Luma <angiosperm> Species 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000002596 correlated effect Effects 0.000 description 1
- 230000001934 delay Effects 0.000 description 1
- 230000003111 delayed effect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000002068 genetic effect Effects 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- 230000002452 interceptive effect Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- OSWPMRLSEDHDFF-UHFFFAOYSA-N methyl salicylate Chemical compound COC(=O)C1=CC=CC=C1O OSWPMRLSEDHDFF-UHFFFAOYSA-N 0.000 description 1
- 230000000153 supplemental effect Effects 0.000 description 1
- 238000013519 translation Methods 0.000 description 1
- 238000005303 weighing Methods 0.000 description 1
Classifications
-
- G06T5/70—
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N19/00—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
- H04N19/85—Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using pre-processing or post-processing specially adapted for video compression
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T2207/00—Indexing scheme for image analysis or image enhancement
- G06T2207/10—Image acquisition modality
- G06T2207/10016—Video; Image sequence
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T2207/00—Indexing scheme for image analysis or image enhancement
- G06T2207/20—Special algorithmic details
- G06T2207/20172—Image enhancement details
- G06T2207/20204—Removing film grain; Adding simulated film grain
Definitions
- the invention relates to a method of electronic image processing using randomly generated values, in particular a synthetic grain generation method.
- the invention also relates to an apparatus for electronic image processing using randomly generated values, and an electronic image processing device for synthetic grain addition, a picture decompression device, a television signal receiving apparatus and a television signal capturing system comprising such an electronic image processing device.
- the invention also relates to a computer program product comprising code describing the method enabling a processor to perform its functionality.
- Synthetic grain may e.g. be added to a picture captured by a CCD camera to make it look like a picture captured on celluloid film.
- modern picture and video compression e.g. the advanced video coding standard AVC
- the efficiency of compression of film material is reduced by the presence of grain. Since film grain is not (temporarily) correlated, it requires many bits to accurately compress it. Therefore, it has been proposed remove the grain prior to encoding and to synthesize artificial grain at the decoder side. This has been standardized in the fidelity range extension of H.264 as Film Grain Management (FGM).
- FGM Film Grain Management
- the grain is generated in a deterministic way. This means that although it looks random, this grain is a random pattern which is generated by at least one seed which looks the same on each receiving/rendering device.
- EP 04101141.2 describes such a grain synthesis system, embodiment details of which (such as possible random generators which can be used) will be referred to and not repeated in this application, as it should be clear to the skilled person which combinations can be made.
- the method comprises: determining a first random value (Rl) corresponding to a first horizontal pixel position (hi) in a vertically positioned first horizontal line (Ll) of an inputted picture (PIC); and deriving a resultant value (R) for a second horizontal pixel position (h2) in a vertically positioned second horizontal line (L2), the resultant value depending on the first random value and a second random value (R2) corresponding to the second horizontal pixel position in the second horizontal line, random values for horizontally neighboring pixel positions being determined by successive outputs of a single random generator initialized with a seed, wherein the first random value is determined with a first random generator (nl) initialized with a first seed (Sl) for a firstmost horizontal pixel position in the first horizontal line (fl), and the second random value is determined with a second random generator (n2) running in parallel with the first random generator, and initialized with a second seed (S2) for a firstmost horizontal pixel position in the second horizontal line
- a straightforward way to implement a deterministic grain synthesis is to send a single seed for the first image line LF and then to generate all the random values for consecutive pixels in a left-to-right, top-to-bottom zigzag scan.
- the grain at horizontal position h2 in line L2 may e.g. depend on two vertically above generated random values for the same horizontal position h2. This means that at a certain moment in time, when the final grain value for (h2,L2) is being determined, those previously required random values are required, i.e. one needs to store in line memories two additional lines of samples. To have the right correlation length of the grain, one needs e.g. 8 vertical neighbors or more.
- An embodiment of the method comprises: determining a first random value (Rl) corresponding to a first horizontal pixel position (hi) in a vertically positioned first horizontal line (Ll) of an inputted picture (PIC); and deriving a resultant value (R) for a second horizontal pixel position (h2) in a vertically positioned second horizontal line (L2), the resultant value depending on the first random value and a second random value (R2) corresponding to the second horizontal pixel position in the second horizontal line, random values for horizontally neighboring pixel positions being determined by successive outputs of a single random generator initialized with a seed, wherein the first random value is determined with a first random generator
- nl initialized with a first seed (Sl) for a firstmost horizontal pixel position in the first horizontal line (fl)
- the second random value is determined with a second random generator (n2) running in parallel with the first random generator, and initialized with a second seed (S2) for a firstmost horizontal pixel position in the second horizontal line (f2), which second seed (S2) is substantially equal to a random value obtained by applying the first random generator (nl) for the firstmost horizontal pixel position in the second horizontal line (f2) after having consecutively been applied to all horizontal positions on a left-right-top- bottom zig-zag scan path (ZZ) being initialized with the first seed (Sl) and starting from the firstmost horizontal pixel position in the first horizontal line (fl).
- the content provider need not bother by such implementation issues as whether the receiver will use the single master seed approach with a zig-zag scanning and the required line memories, or whether the receiver will work according to the present invention: he will e.g. just send his single master seed SM, irrespective of what grain rendering method is used.
- the required N seeds can be evaluated at the receiving side prior to applying the N random generators in parallel. Because the single seed random generation goes through each line consecutively, the random value at the beginning of a line (firstmost point), being used for generating the next random values (i.e. which can be interpreted as a seed for that line) can hence be simply obtained by running the random generator so many times from its firstmost/starting point (the first pixel on the first line LF) until the present line firstmost point is reached. This can be done quickly to determine all H seeds for all lines, and then the actual image processing can begin.
- the random generators than run substantially in parallel, e.g. if one needs to calculate the resultant value (R) for position h2, and the grain is determined based on two previous and the current line (and for simplicity of argument no horizontal neighbors) then the preferred construction has three random generators outputting a value for this h2 position, namely the first for (h2,L0), the second for (h2,Ll) and the third for (h2, L2).
- a simple FIR filter may then be employed for weighted adding of these three random values.
- a typical image processing method is synthetic grain generation, and the grain may depend on the underlying pixel values of an inputted picture at the positions for which a random value is being generated, e.g. a DC term in a block-transform compressed picture.
- An input picture may be uncompressed (e.g. just a zigzag scanned set of pixel values between 0 and 255) or obtainable after decompressing a compressed representation (e.g. MPEG-2, AVC, JPEG, ...) ⁇
- the method may then be performed in a picture compression device, which is e.g. a part of a dedicated IC, or a software module running on a processor.
- a FIR filter-only generation requires almost no memory, but many calculations because a long FIR filter may be required.
- a combination realization may be made wherein a part of the filter is realized as a FIR (generating a local/high frequency correlation of the grain) and a part is realized as an HR (realizing the long-distance/low frequency correlation due to its integration properties).
- HR realizing the long-distance/low frequency correlation due to its integration properties.
- the image processing device and the picture processing device is advantageously incorporated in a television signal receiving apparatus, which is arranged to receive a television signal from a network (e.g. wireless terrestrial television, or a telephone network), and process it, in particular add grain.
- the television signal receiving apparatus may e.g.
- a display to also display the signal, or may be a separate unit such a settopbox. It may be a portable apparatus such as a wireless phone. It may also comprise storage functionality, e.g. a personal video recorder, which adds the grain to a received television signal before storing it in a memory.
- storage functionality e.g. a personal video recorder, which adds the grain to a received television signal before storing it in a memory.
- the television signal receiving apparatus may also be e.g. a disk reader, in which case the television signal is received from its storage on a disk, which only contains the non-grainy, smooth picture and a seed.
- Fig. 1 schematically shows a picture for explaining the method
- Fig. 2 schematically shows a prior art FIR grain synthesis device
- Fig. 3 schematically shows an embodiment of a FIR grain synthesis device according to the invention
- Fig. 4 schematically shows an embodiment of a grain synthesis device with an
- Fig. 5 schematically shows a picture decompression apparatus comprising an electronic image processing device according to the invention.
- Fig. 6 schematically shows a television signal capturing system according to the invention.
- Fig. 1 shows the geometrical setup of the random resultant value R generation as a function of the geometrical pixel positions of an inputted picture PIC.
- the random values may be needed for any image operation, e.g. a recoloring for implementing an artistic effect depending on the underlying picture content and the random value, a genetic algorithm based image operation, etc.
- image operation e.g. a recoloring for implementing an artistic effect depending on the underlying picture content and the random value, a genetic algorithm based image operation, etc.
- the basic random value generation part into other image processing functions.
- a resultant value is needed for a pixel position (h2, L2) (second cross). If the random process is not local to a pixel, the generated random values for neighboring pixels are required, typically for horizontal as well as vertical neighbors.
- An alternative to the frequency space method is to generate the grain in the time domain using Finite Impulse Response (FIR) filters and/or recursive (HR) filters. Grain that has been generated in this way has approximately the same statistical properties as the grain generated with the DCT. In this way both the large memory and the DCT are not needed. To get visually similar results, a FIR filter of quite high order q is needed
- the input of the FIR/IIR filter is white noise (with a particular amplitude, e.g. Fv(I), Fv(2), ... generated on the basis of pixel values of underlying and possibly neighboring pixels or blocks) that is generated using a pseudo-random generator. If this white noise is generated sequentially using a single random generator, the result has to be stored in line memories. In the method of the present invention instead q (the FIR filter order) random generators are used in parallel to generate the input for the as they are needed by the filter. By initializing all random generators by the right seed, the output of this filter can be made identical to the random numbers generated by a single pseudo-random generator.
- q the FIR filter order
- a random generator known from literature is based on m registers with an exor feedback from the lsb side to the msb.
- the length m determines the length of repetition of the random value and should therefore be large.
- the last n lsb bits form the n bits random value.
- the random generator can be made deterministic by resetting the register at a certain moment, e.g. beginning of the sequence, to a so-called seed number.
- Fig. 2 shows a prior art filter 200 to filter the pseudo random noise, coming from e.g. the exor pseudo random noise generator 203, in both vertical and horizontal direction by means of a (horizontally/vertically) separable filter.
- the number of FIR filter order q is here 2k+l.
- 2k line memories are required of n bits.
- the vertical filtered results are the m bits results of the summation by adder 202 of the 2k+l FIR multipliers (261, 262, ...) in vertical FIR filter 210.
- This intermediate result RV is then fed to the horizontal filter stage 280, which is formed by 2*k registers (i.e. the blocks like 201 are delays) and the FIR multipliers and a summation.
- the costs are dominated by the cost of the 2*k line memories (251, 252, 253, ...) ⁇ As said before, these memory costs can be avoid by using the method/device of the present invention.
- Fig. 3 the signals as produced by the line memories of fig 2 are now produced by separate pseudo random generators 301, 303 etc..
- 2k+l seeds are calculated in such a way that the successive seeds have a 'shift' of the length w of the line memories. This means e.g. that seed s(l) has the value of the output of a random generator initialized with seed(O) 1920 sample moments later.
- the vertical part of the decomposable FIR filtering is realized with vertical FIR filter 311.
- Vertically adjacent determined random values are multiplied with coefficients Fv(-k+l) etc., which coefficients e.g. follow a Gaussian or exponential decreasing pattern.
- the so weighted random values are added in an adder. This procedure is done consecutively for horizontally neighboring pixels.
- a so obtained value for a horizontal position h-1 is delayed by delay 201 and the vertical FIR filtered random value for horizontal position h is then determined, etc.
- this neighboring vertical resulting values are weighed and added in a horizontal FIR filter 313, yielding the final resultant value (R).
- the parallel execution of the random generators 301, 303, ... is under the control of a control means 380 (e.g. a processor running a software encoded control algorithm or a similar purely hardware realized means, etc.).
- a control means 380 e.g. a processor running a software encoded control algorithm or a similar purely hardware realized means, etc.
- the skilled person can find different prior art ways to construct such a control, e.g. with a means which outputs a clock signal CLK which triggers the random generation.
- FIG. 4 gives an alternative embodiment of the claimed invention which makes use of a combination of FIR (finite impulse response) & IIR (infinite impulse response) filter technique.
- the vertical FIR filter part is similar as in the embodiment of Fig. 3, but fewer filter taps may be used.
- the filter works as follows. At a certain horizontal position h2, a resultant vertically FIR filtered value RV2 is obtained. This value RV2 is added by adder 499 to previously determined values RVl and RVO. The values are properly weighed (by multipliers 480, 481 ) by filter coefficients Fvr(- 1 ), Fvr(-2) and (by multiplier 482) 1 / ⁇ Fvr , so that the result doesn't overflow outside the [0,255] interval, and although there is correlation, there is only a limited memory, so that the noise generated adapts to new circumstances, such as e.g. different underlying grey values (obviously the method can be expanded to color pictures).
- This addition (now having a contribution of at least three vertical positions) is saved in an upper line memory 451. All memories shift synchronously with the vertical FIR filter 311 to the next horizontal picture position. In this way after W positions have been processed, the horizontal position h2 is up for processing again, i.e. in the long run this device implements a vertical IIR filter (having decreasing contributions of pixels in the vertical past). Similarly unit 413 realizes a horizontal IIR filter, which is of course optional, as one can also use a pure FIR filter horizontally.
- Fig 5 shows an example of a picture decompression device 500, which may be comprised in a television signal receiving apparatus 560 in the exemplary embodiment e.g. a settopbox connected to a display 561 (wired or wirelessly).
- a picture decompression unit 502 is arranged to decompress a compressed picture inputted from a network 550 into an uncompressed image signal PIC.
- the picture decompression unit 502 may be further arranged to provide the DC values of the compressed picture to e.g. a memory unit 570, which may e.g. comprise a look-up table evaluation unit for converting these DC values to appropriate weighing factors Fv, Fh, Fvr, ... .
- the seed and grain generation parameters i.e. the constants of the filtering, which determine the grain look
- SEI Supplemental enhancement information
- This SEI information is passed by the picture decompression unit 502 to a seed dispenser 580, which may e.g. be embodied as a seed calculator which is arranged pre- calculate the initial seed values based on e.g. a single master seed SM for the firstmost pixel of the first line LF, and pass them to the electronic image processing device 312 when required by the random generators.
- a seed dispenser 580 which may e.g. be embodied as a seed calculator which is arranged pre- calculate the initial seed values based on e.g. a single master seed SM for the firstmost pixel of the first line LF, and pass them to the electronic image processing device 312 when required by the random generators.
- the SEI interpreter also sends the grain look determining parameters to the memory unit 570 to determine the correct lookup table filter parameters.
- the lookup table contains the relation of the luma intensity and grain parameters to the filter coefficients Fv, Fh, Fvr & Fhr and noise strength value S FGM.
- the noise strength value S FGM controls the amplitude of the filtered noise output which is added by adder 510 to the video content of the PIC.
- a coarser scale grain picture may be generated (which can be done in either or both of the horizontal and vertical directions) and subsequently interpolated, preferably by a zero order hold (i.e. copying of the previous value).
- a zero order hold i.e. copying of the previous value.
- an extra line memory is used for containing the picture grey values for at least a fraction of the width of the picture, and the resulting grain value is added to the grey values e.g. 4 times in a 2x2 block (i.e. both to the current pixel and the one stored in the extra grain value) the same is possible in memory access which is not typical zigzag line based, e.g. block or random access a currently preferred option (because at present only little memory is available in e.g. decompressors or other image processing ICs, i.e.
- Fig. 6 shows a television signal capturing system 600.
- the components of the present invention are in the exemplary embodiment incorporated in a camera 601, but could of course reside elsewhere in the system 600.
- a picture is captured and processed (e.g. white point calibration) by a picture derivation unit 611. It is assumed in this simplistic example that no compression occurs yet, although the skilled person should be able to incorporate this in the system.
- Grain is added corresponding to a preference (a master seed SM for the f ⁇ rstmost position of the first line LF) with an electronic image processing device for synthetic grain addition (501) according to the present invention.
- a video signal may be constructed on the basis of the captured picture(s) and the master seed(s) SM (there may be different seeds for e.g. different shots). This signal may be sent to a network 620 or stored in a memory 621, such as e.g. a blu-ray disk.
- the algorithmic components disclosed in this text may in practice be (entirely or in part) realized as hardware (e.g. parts of an application specific IC) or as software running on a special digital signal processor, or a generic processor, etc.
- the computer program product should be understood any physical realization of a collection of commands enabling a processor -generic or special purpose-, after a series of loading steps (which may include intermediate conversion steps, like translation to an intermediate language, and a final processor language) to get the commands into the processor, to execute any of the characteristic functions of an invention.
- the computer program product may be realized as data on a carrier such as e.g. a disk or tape, data present in a memory, data traveling over a network connection -wired or wireless- , or program code on paper.
- characteristic data required for the program may also be embodied as a computer program product.
Abstract
Description
Claims
Priority Applications (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
BRPI0518462-2A BRPI0518462A2 (en) | 2004-12-08 | 2005-12-02 | Electronic image processing method and device, figure decompression device, television signal reception apparatus, television signal capture system, and, computer program product |
US11/720,839 US20090231345A1 (en) | 2004-12-08 | 2005-12-02 | Electronic image processing method and device with linked random generators |
JP2007545031A JP2008523680A (en) | 2004-12-08 | 2005-12-02 | Electronic image processing method and apparatus using connected random generators |
EP05822478A EP1825683A1 (en) | 2004-12-08 | 2005-12-02 | Electronic image processing method and device with linked random generators |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
EP04106397.5 | 2004-12-08 | ||
EP04106397A EP1670255A1 (en) | 2004-12-08 | 2004-12-08 | Electronic image processing method and device with linked random generators |
Publications (1)
Publication Number | Publication Date |
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WO2006061751A1 true WO2006061751A1 (en) | 2006-06-15 |
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Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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PCT/IB2005/054011 WO2006061751A1 (en) | 2004-12-08 | 2005-12-02 | Electronic image processing method and device with linked random generators |
Country Status (7)
Country | Link |
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US (1) | US20090231345A1 (en) |
EP (2) | EP1670255A1 (en) |
JP (1) | JP2008523680A (en) |
KR (1) | KR20070100279A (en) |
CN (1) | CN101073270A (en) |
BR (1) | BRPI0518462A2 (en) |
WO (1) | WO2006061751A1 (en) |
Families Citing this family (3)
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KR100926911B1 (en) | 2007-10-05 | 2009-11-17 | 주식회사 알티캐스트 | Method and system for providing advertisement in digital broadcasting |
DE102009045850A1 (en) | 2009-10-20 | 2011-04-21 | Voith Patent Gmbh | Cutting device for use in machine for producing and/or processing e.g. paper web, has cutting unit pivotably supported around pivoting axis in machine transverse direction parallel to material web to be separated |
US9036937B2 (en) | 2010-11-15 | 2015-05-19 | Qualcomm Incorporated | Fast repeated integral images |
Citations (2)
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WO1997022204A1 (en) * | 1995-12-11 | 1997-06-19 | Przyborski Glenn B | Video system for simulation of motion picture film |
US5641596A (en) * | 1995-12-05 | 1997-06-24 | Eastman Kodak Company | Adjusting film grain properties in digital images |
Family Cites Families (5)
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US4115806A (en) * | 1975-05-23 | 1978-09-19 | Bausch & Lomb Incorporated | Image analysis data transfer |
JP4931587B2 (en) * | 2003-09-23 | 2012-05-16 | トムソン ライセンシング | A method of simulating film grain using frequency filtering |
US7680356B2 (en) * | 2003-10-14 | 2010-03-16 | Thomson Licensing | Technique for bit-accurate comfort noise addition |
US20070117291A1 (en) * | 2003-12-05 | 2007-05-24 | Thomson Licensing | Technique for film grain simulation using a database of film grain patterns |
BRPI0516614B1 (en) * | 2004-10-18 | 2020-08-18 | Interdigital Vc Holdings, Inc | FILM GRANULATION SIMULATION METHOD |
-
2004
- 2004-12-08 EP EP04106397A patent/EP1670255A1/en not_active Withdrawn
-
2005
- 2005-12-02 US US11/720,839 patent/US20090231345A1/en not_active Abandoned
- 2005-12-02 EP EP05822478A patent/EP1825683A1/en not_active Withdrawn
- 2005-12-02 JP JP2007545031A patent/JP2008523680A/en not_active Withdrawn
- 2005-12-02 BR BRPI0518462-2A patent/BRPI0518462A2/en not_active Application Discontinuation
- 2005-12-02 WO PCT/IB2005/054011 patent/WO2006061751A1/en not_active Application Discontinuation
- 2005-12-02 KR KR1020077015517A patent/KR20070100279A/en not_active Application Discontinuation
- 2005-12-02 CN CNA2005800423293A patent/CN101073270A/en active Pending
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
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US5641596A (en) * | 1995-12-05 | 1997-06-24 | Eastman Kodak Company | Adjusting film grain properties in digital images |
WO1997022204A1 (en) * | 1995-12-11 | 1997-06-19 | Przyborski Glenn B | Video system for simulation of motion picture film |
Non-Patent Citations (5)
Title |
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CHRISTINA GOMILA, ALEXANDER KOBILANSKY: "SEI message for film grain encoding", JVT OF ISO IEC MPEG AND ITU-T VCEG JVT-H022, 23 May 2003 (2003-05-23), GENEVA, SWITZERLAND, pages 1 - 14, XP002308742 * |
CHRISTINA GOMILA: "SEI message for film grain encoding: syntax and results", JVT OF ISO IEC MPEG AND ITU-T VCEG JVT-I013 REVISION 2, 2 September 2003 (2003-09-02), SAN DIEGO, CA, USA, pages 1 - 11, XP002308743 * |
FREDERICKSON P ET AL: "PSEUDO-RANDOM TREES IN MONTE CARLO", PARALLEL COMPUTING, ELSEVIER PUBLISHERS, AMSTERDAM, NL, vol. 1, no. 2, 1984, pages 175 - 180, XP001029469, ISSN: 0167-8191 * |
GISLE BRONTEGAARD: "Addition of comfort noise as post processing", ITU STUDY GROUP 16 - VIDEO CODING EXPERTS GROUP, 8 September 1997 (1997-09-08), pages 1 - 2, XP002319278 * |
MIURA K ED - BALCI O ET AL: "Vectorization and parallelization of transport Monte Carlo simulation codes", SIMULATION CONFERENCE, 1990. PROCEEDINGS, WINTER NEW ORLEANS, LA, USA 9-12 DEC. 1990, NEW YORK, NY, USA,IEEE, US, 9 December 1990 (1990-12-09), pages 722 - 730, XP010011211, ISBN: 0-911801-72-3 * |
Also Published As
Publication number | Publication date |
---|---|
EP1670255A1 (en) | 2006-06-14 |
EP1825683A1 (en) | 2007-08-29 |
JP2008523680A (en) | 2008-07-03 |
BRPI0518462A2 (en) | 2008-11-18 |
US20090231345A1 (en) | 2009-09-17 |
KR20070100279A (en) | 2007-10-10 |
CN101073270A (en) | 2007-11-14 |
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